The Guile/Gile family has a definitive place in the JCGS Family Tree. Currently, there are about fifteen or so names as illustrated here.
I recently came across this Genealogy and Family History book by Charles Burleigh (circa 1887) which I’m looking to incorporate as another reference point in the JCGS source materials.
Available at archive.org here: The Genealogy and History of the Guild, Guile and Gile Family